This transcription follows the original text almost word for word, but it observes present-day conventions in spelling, punctuation and capitalization. Where you see text in red, underlined, hovering your cursor on it (no click necessary) will pop up a brief explanation.

Magistrates:The Magistrates judge meet to refer the consideration of this petition to the next General Court of Election in May, and that the Secretary give notice to the parties concerned—the selectmen for Cambridge and the petitioners—then to appear and attend their concerns on the first … day of the said Court for their determination, their brethren the Deputies thereto consenting.Edward Rawson, Secretary

Deputies:Consented to by the Deputies.Oct. 17, 1682 Elisha Hutchinson per order.

A word is crossed out and rewritten above the line here. It may be “friday,” but it can't be read with any confidence, and may also be crossed out, at least partially. Secretary Rawson's calligraphy makes it hard to tell. Other comments sometimes name a specific day close to the beginning of the term for taking up the case, but the records provide no evidence that these dates were met.

Per order literally means ‘by command,‘ but it only indicates that the Deputy who made the entry was delegated to substitute for the elected clerk or secretary, who was most likely absent.